New simple model of dynamic hysteresis

Although the most commonly used hysteresis models are static, in some applications these models constitute an unacceptable simplification of physical behaviour. This includes ferro-magnetic hysteresis, plasticity and friction, which are dynamic phenomena. Consequently, this paper is aimed at presenting a new simple model of dynamic hysteresis, which is more appropriate for modelling of real-life hysteresis effects. The suggested model might be used as a building block for the development of various dynamic hysteresis models. It is proved that at low input rates, this model is closely related to static hysteresis, and it therefore constitutes a generic framework for modelling of hysteresis. Finally, it is shown that stability analysis of a closed-loop system containing simple dynamic hysteresis in feedback can be analysed in a straightforward manner using absolute stability theory.